If the domain of the function f(x)=sin⁻¹ (1/(x²-2x-2)) is (-∞,α)∪… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 24 January, Shift 2Inverse Trigonometric Functions

If the domain of the function $f(x)=\sin^{-1}\!\left(\dfrac{1}{x^2-2x-2}\right)$ is $(-\infty,\alpha)\cup[\beta,\gamma]\cup[\delta,\infty)$ , then $\alpha+\beta+\gamma+\delta$ is equal to](streamdown:incomplete-link)

A
$5$
B
$2$
C
$4$
D
$3$

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